Worksheets09 Basic Algebra Skills (Review of Units 1 and 2)
Total questions: 80
Worksheet time: 19hrs 3mins
Name
Class
Date
1.
True or False: Expressions are evaluated, equations are solved.
a)
True
b)
False
2.
To ___________________ an expression is to write it in a form that uses fewer symbols, and/or makes it easier to understand.
a)
Substitute
b)
Solve
c)
State
d)
Simplify
3.
When ___________________, it is always a good idea to use parentheses
a)
Substituting
b)
Simplifying
c)
Solving
d)
Distributing
4.
Two numbers are opposites of each other if and only if their _____________ is zero.
a)
Difference
b)
Sum
c)
Product
d)
Quotient
5.
Two numbers are reciprocals of each other if and only if their __________________ is 1.
a)
Difference
b)
Sum
c)
Product
d)
Quotient
6.
Examples of these include add, subtract, multiply and divide...
a)
Properties
b)
Expressions
c)
Operations
d)
Relations
7.
___________________ is the name for the set of tools we use to find solutions to relations (or vice versa.)
a)
Algebra
b)
Geometry
c)
Statistics
d)
Calculus
8.
A/an ___________________ is a letter that represents an unknown quantity, or a quantity with a value that could change.
a)
Variable
b)
Equation
c)
Expression
d)
Inequality
9.
Which of the following is NOT an integer?
a)
1/2
b)
0
c)
-3
d)
3
10.
An integer is a number that is either a whole number or the ______________ of a whole number.
a)
Inverse
b)
Opposite
c)
Reciprocal
d)
Contradiction
11.
The Power operation represents repeated _______________________.
a)
Multiplication
b)
Addition
c)
Subtraction
d)
Division
12.
Which fraction below is equivalent to 3 ⅝ ?
a)
29/8
b)
15/8
c)
8/29
d)
8/15
13.
Which of the following numbers represents the largest quantity?
a)
2.7
b)
27%
c)
2/7
d)
7/2
14.
Which of the following operations is commutative?
a)
Addition
b)
Subtraction
c)
Division
d)
Power (Exponentiation)
15.
Distribute and simplify:
3 − (5x − 2) + 6x =
3 − (5x − 2) + 6x =
a)
x + 5
b)
x + 1
c)
1 − 11x
d)
11x − 5
16.
Distribute and simplify:
( 5x + 80)/5 − 2x
( 5x + 80)/5 − 2x
a)
-1x + 16
b)
3x + 80
c)
23x + 400
d)
-1x + 400
17.
Dividing by anything is the same as multiplying by its...
a)
Reciprocal
b)
Opposite
c)
Complement
d)
Decimal
18.
A number is a/an ______________ if and only if it is a whole number or the opposite of a whole number.
a)
Integer
b)
Natural Number
c)
Rational Number
d)
Real Number
19.
Darren's Canning Company has two canning machines. One machine produces 300 cans per hour and the other produces 500 cans per hour.
Darren's receives an order to produce 12,000 cans. If he puts both machines to work on this order, how long will it take to complete?
Darren's receives an order to produce 12,000 cans. If he puts both machines to work on this order, how long will it take to complete?
a)
15 hours
b)
60 hours
c)
12.5 hours
d)
17 hours
20.
Jimmy was going on vacation. His parents drove the first day and went 390 miles in 6 hours. The next day they drove for 8 hours. If they went the same speed the second day as they did on the first, how far did they travel the second day?
a)
520 miles
b)
292.5 miles
c)
400 miles
d)
652.5 miles
21.
Convert the following fraction into a decimal.
24/48
24/48
a)
24.48
b)
2.4
c)
0.5
d)
2.0
22.
What is 20% of 75?
a)
15
b)
60
c)
6
d)
1.5
23.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
24.
A Chicago Cubs baseball cap costs $30. Michael has a coupon that will save him 30% of the price. How much money will Michael pay for the cap?
a)
$9.00
b)
$22.00
c)
$21.36
d)
$21.00
25.
Order of Operations: What is the first step in simplifying the expression
-2 ⋅ (3 + 8 ÷ 4)2 ?
-2 ⋅ (3 + 8 ÷ 4)2 ?
a)
multiplication
b)
addition
c)
division
d)
subtraction
26.
Out of 180 students, 130 are going on the field trip. What percent of students are going on the field trip?
a)
about 1.38%
b)
about 72%
c)
310%
d)
about 0.72
27.
Each lap around Spring Reservoir is 2 3/8 miles long. Terrance walked 2 1/2 laps around the reservoir. How many miles did Terrance walk?
a)
4 3/16 miles
b)
5 1/4 miles
c)
5 3/8 miles
d)
5 15/16 miles
28.
Stone Mountain is 1,686 feet above sea level. Lake Lanier’s lowest depth is 160 feet below sea level. What is the distance between these two elevations?
a)
1526 ft.
b)
10.5 ft.
c)
1846 ft.
d)
None of these
29.
Tom rides his bike 1 1/4 miles round trip to work. He works 5 days each week. How far will Tom ride his bike to and from work in 3 weeks?
a)
6 1/4 miles
b)
15 1/4 miles
c)
18 1/4 miles
d)
18 3/4 miles
30.
Apples cost $1.48 per pound at the grocery store. Sara bought 6 pounds of apples. Steve bought 10 pounds of apples. How much more did Steve spend on apples than Sara?
a)
$2.96
b)
$5.92
c)
$8.88
d)
$14.80
31.
If an object is traveling 88 feet per second, what is its speed in miles per hour?
[Recall that there are 5,280 feet in a mile.]
[Recall that there are 5,280 feet in a mile.]
a)
.017 mph
b)
60 mph
c)
1 mph
d)
129 mph
32.
On Saturday, Dr. Morrison drove 340 miles in 5 hours. On Sunday, he drove 198 in 3 hours. Based on this information, which statement is true?
a)
His rate on Saturday was 2 miles per hour slower than his rate on Sunday.
b)
His rate on Sunday was 2 miles per hour slower than his rate on Saturday.
c)
His rate on Saturday was the same as his rate on Sunday.
d)
His rate on Sunday was 2 miles per hour faster than his rate on Saturday.
33.
Distribute:
3(-6x-3)
3(-6x-3)
a)
18x+9
b)
-18x-9
c)
12x+6
d)
18x-9
34.
Is the statement below an expression or an equation?
6y + 4
6y + 4
a)
Expression
b)
Equation
c)
Both
d)
Neither
35.
In the expression 4x + 35, the "4" is a _________ of "x"
a)
Coefficient
b)
Exponent
c)
Term
d)
Linear Term
36.
Simplify by combining like terms: 1 - 10a + 7
a)
8 - 26a
b)
8 - 14a
c)
8 - 10a
d)
8 - 32a
37.
Simplify using the distributive property:
-2(2m - 12)
-2(2m - 12)
a)
88m - 66
b)
92m - 66
c)
-4m + 24
d)
120m + 60
38.
Simplify :
12b + 7(2b + 2)
12b + 7(2b + 2)
a)
22b + 11
b)
26b + 11
c)
26b + 14
d)
26b + 20
39.
Find the difference. Subtraction is not your friend!!:
(8 - u) - (5u + 1)
(8 - u) - (5u + 1)
a)
6u + 7
b)
-4u + 7
c)
-6u + 7
d)
4u - 7
40.
What is 3.5 turned into a fraction?
a)
7/3
b)
3 1/3
c)
3.5%
d)
3 1/2
41.
What is a numerator?
a)
The number over fraction bar
b)
A fraction
c)
A percent
d)
The number under fraction bar
42.
What is 70% when converted to standard form?
a)
0.7
b)
0.10
c)
0.75
d)
0.86
43.
What is the percent?
a)
20 %
b)
60%
c)
80%
d)
.60%
44.
0.60 is what fraction ?
a)
1/6
b)
2/3
c)
6/5
d)
3/5
45.
The length of a desk is 3.5 feet. How many centimeters is the length?
(there are 2.54 cm in an inch)
(there are 2.54 cm in an inch)
a)
60
b)
120.23
c)
106.68
d)
117.12
46.
Write 11/25 as a percent
a)
11%
b)
44%
c)
22%
d)
55%
47.
Which of these sets is in order from greatest to least ?
a)
0.45, 0.09, 0.9, 0.5
b)
0.8, 0.5, 0.09, 0.02
c)
1 , 0.4, 0.8, 5
d)
0.64, 0.98, 0.55, 0.44
48.
Order the numbers from least to greatest.
a)
0.09
b)
101
c)
14%
d)
206
1)
2)
3)
4)
49.
How do you change a decimal to a percent?
a)
Move the decimal 2 places to the the LEFT or multpliy by 100
b)
Move the decimal 2 places to the the RIGHT or multiply by 100
c)
Move the decimal 1 place to the the LEFT or multpliy by 10
d)
Move the decimal 1 place to the the RIGHT or divide by 10
50.
Convert 3/8 to a Percent.
a)
37.5%
b)
3.75%
c)
267%
d)
38%
51.
Write the percent as a decimal:
217%
217%
a)
.0217
b)
0.217
c)
2.17
d)
21.7
52.
Evaluate the expression.
a)
15
b)
11
c)
-15
d)
-11
53.
211 lbs. is how many kilograms? There are 2.2 lbs. in a kilogram.
a)
95794.0
b)
95.90
c)
9.59x10^-11
d)
.9590
54.
Convert 300 meters to centimeters. There are 100 centimeters in a meter.
a)
3000 cm
b)
0.3 cm
c)
30,000 cm
d)
3 cm
55.
What is 0.8% expressed in standard notation?
a)
0.008
b)
0.08
c)
8
d)
80
56.
What is 2.32 expressed as a Percent?
a)
232%
b)
23.2%
c)
0.232%
d)
0.0232%
57.
Which of the fractions below is equivalent to the repeating decimal 0.1666666666....?
a)
1/6
b)
4/25
c)
1/16
d)
17/100
58.
Which of the decimals below is equivalent to the fraction 10/3 ?
a)
3.333333......
b)
10.3
c)
1.3
d)
0.333333.......
59.
Solve for "x"
a)
x = 18
b)
x = 23.5
c)
x = 12.5
d)
x = 16
60.
A recipe calls for three pinches of salt for every five servings. If you are planning to serve 80 people with this recipe, how many pinches of salt do you need?
a)
48
b)
133 1/3
c)
28 1/3
d)
25
61.
Evaluate (1/9) + (2/5) =
a)
23/45
b)
3/14
c)
2/45
d)
23/14
62.
Evaluate: (1/9)⋅(1/9) =
a)
1/81
b)
2/9
c)
2/81
d)
1/9
63.
Order these numbers from least to greatest.
a)
12%
b)
1/20
c)
2/12
d)
0.0555555.......
1)
2)
3)
4)
64.
Order these numbers from greatest to least.
a)
2.35
b)
23.5%
c)
2 3/5
d)
23/50
1)
2)
3)
4)
65.
True or False: Evaluation is a type of simplification
a)
True
b)
False
66.
Fill in the blank: Never operate with Percents. To work with a Percent, always convert it to a ___________________ first, or use the "%" button on your calculator.
a)
Decimal or fraction
b)
Whole number
c)
Integer
d)
None of these
67.
Consider the math work shown in the box to the right. What is the name of this procedure?
a)
Simplifying
b)
Substituting
c)
Solving
d)
Distributing
68.
Which of the following is the reciprocal of 5?
a)
1/5
b)
-5
c)
-1/5
d)
1
69.
Unit skills: You are planning a vacation to Mexico. One dollar is worth about six Pesos, the currency that is used in Mexico. A hotel room is offering a room for 420 pesos per night. How much is this price in dollars?
a)
$70
b)
$2,520
c)
$426
d)
$414
70.
Round 5,721.8 to the nearest hundred. What is the result?
a)
5,700
b)
6,000
c)
5,720
d)
5,722
71.
Unit skills: Consider the table to the right from a record of NASCAR practices on the same track. Which driver had the slowest mean practice speed?
a)
Jimmy Johnson
b)
Tony Stewart
c)
Kurt Bush
d)
Jeff Gordon
72.
For a given operation ∎, if a∎b = b∎a, then ∎ is said to be...
a)
Associative
b)
Commutative
c)
Distributive
d)
Symmetric
73.
Which of the following operations is commutative?
a)
Addition
b)
Subtraction
c)
Exponentiation (Powers)
d)
Division
74.
"8x" means....
a)
8 times x
b)
8 plus x
c)
8 divided by x
d)
8 minus x
75.
Sum is ________
a)
the result of addition
b)
the result of subtraction
c)
the result of division
d)
the result of multiplication
76.
A number divided by zero is always____.
a)
1
b)
0
c)
itself
d)
undefined
77.
True or False: 1y is the same as y
a)
True
b)
False
78.
To combine like terms, add (or subtract) the _________________, but leave the variable part the same.
a)
coefficients
b)
exponents
c)
bases
d)
letters
79.
How many terms are in the expression 3x3+2x2+x+5 ?
a)
4
b)
5
c)
8
d)
11
80.
Which of the following is like terms with 5x3 ?
a)
5y3
b)
5x2
c)
7x3
d)
None of these
100 %
